document.write( "Question 1077353: find the domain of f(x)=1/(x^2-2x-15) \n" ); document.write( "

Algebra.Com's Answer #691844 by MathLover1(20850) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1%2F%28x%5E2-2x-15%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1%2F%28x%5E2%2B3x-5x-15%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1%2F%28%28x%5E2%2B3x%29-%285x%2B15%29%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1%2F%28x%28x%2B3%29-5%28x%2B3%29%29+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"f%28x%29=1%2F%28%28x-5%29%28x%2B3%29%29+\"$ \r
\n" ); document.write( "\n" ); document.write( "recall that denominator cannot be equal to zero; so, we need to exclude the values of $\"x\"$ that make denominator equal to zero\r
\n" ); document.write( "\n" ); document.write( " $\"%28x-5%29%28x%2B3%29=0+\"$ \r
\n" ); document.write( "\n" ); document.write( "if $\"%28x-5%29=0+\"$ => $\"x=5\"$
\n" ); document.write( "or if $\"%28x%2B3%29=0+\"$ => $\"x=-3\"$ \r
\n" ); document.write( "\n" ); document.write( "so, domain is all real numbers $\"x\"$ except $\"x=5\"$ and $\"x=-3\"$ \r
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\n" ); document.write( "\n" ); document.write( "{ $\"x\"$ element $\"R\"$ : $\"x%3C%3E-3\"$ and $\"x%3C%3E5\"$ }\r
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